Optimal experimental design for infinite-dimensional Bayesian inverse problems governed by PDEs: A review

A Alexanderian - Inverse Problems, 2021 - iopscience.iop.org
We present a review of methods for optimal experimental design (OED) for Bayesian inverse
problems governed by partial differential equations with infinite-dimensional parameters …

Asymptotic linear convergence of fully-corrective generalized conditional gradient methods

K Bredies, M Carioni, S Fanzon, D Walter - Mathematical Programming, 2024 - Springer
We propose a fully-corrective generalized conditional gradient method (FC-GCG) for the
minimization of the sum of a smooth, convex loss function and a convex one-homogeneous …

Numerical analysis of sparse initial data identification for parabolic problems

D Leykekhman, B Vexler, D Walter - … : Mathematical Modelling and …, 2020 - esaim-m2an.org
In this paper we consider a problem of initial data identification from the final time
observation for homogeneous parabolic problems. It is well-known that such problems are …

Linear convergence of accelerated conditional gradient algorithms in spaces of measures

K Pieper, D Walter - ESAIM: Control, Optimisation and Calculus of …, 2021 - esaim-cocv.org
A class of generalized conditional gradient algorithms for the solution of optimization
problem in spaces of Radon measures is presented. The method iteratively inserts …

On the optimal choice of the illumination function in photoacoustic tomography

PT Huynh, B Kaltenbacher - arXiv preprint arXiv:2411.06609, 2024 - arxiv.org
This work studies the inverse problem of photoacoustic tomography (more precisely, the
acoustic subproblem) as the identification of a space-dependent source parameter. The …

Linear convergence of accelerated generalized conditional gradient methods

K Bredies, M Carioni, S Fanzon, D Walter - 2021 - research.utwente.nl
We propose an accelerated generalized conditional gradient method (AGCG) for the
minimization of the sum of a smooth, convex loss function and a convex one-homogeneous …

Finite element error estimates for one-dimensional elliptic optimal control by BV functions

D Hafemeyer, F Mannel, I Neitzel, B Vexler - arXiv preprint arXiv …, 2019 - arxiv.org
We consider an optimal control problem governed by a one-dimensional elliptic equation
that involves univariate functions of bounded variation as controls. For the discretization of …

A fast primal-dual-active-jump method for minimization in BV((0,T) ℝd)

P Trautmann, D Walter - Optimization, 2024 - Taylor & Francis
We analyse a solution method for minimization problems over a space of R d-valued
functions of bounded variation on an interval I. The presented method relies on piecewise …

Modeling and Optimization of Electrode Configurations for Piezoelectric Material

V Schulze - 2023 - edoc.hu-berlin.de
Piezoelectrics have a wide range of applications in industry, everyday life and research. This
requires an accurate knowledge of the material behavior, which implies the solution of …